A graded mesh refinement approach for boundary layer originated singularly perturbed time‐delayed parabolic convection diffusion problems
In this work, we consider a graded mesh refinement algorithm for solving time‐delayed
parabolic partial differential equations with a small diffusion parameter. The presence of this …
parabolic partial differential equations with a small diffusion parameter. The presence of this …
A novel finite difference technique with error estimate for time fractional partial integro-differential equation of Volterra type
S Santra, J Mohapatra - Journal of Computational and Applied Mathematics, 2022 - Elsevier
The main purpose of this work is to study the numerical solution of a time fractional partial
integro-differential equation of Volterra type, where the time derivative is defined in Caputo …
integro-differential equation of Volterra type, where the time derivative is defined in Caputo …
Adomian decomposition and homotopy perturbation method for the solution of time fractional partial integro-differential equations
This article deals with two different methods to solve a time fractional partial integro-
differential equation. The fractional derivatives are defined here in Caputo sense. The model …
differential equation. The fractional derivatives are defined here in Caputo sense. The model …
A robust uniformly convergent finite difference scheme for the time-fractional singularly perturbed convection-diffusion problem
The design and analysis of a finite difference method for solving a class of time-fractional
singularly perturbed convection-diffusion problems is the subject of this paper. The time …
singularly perturbed convection-diffusion problems is the subject of this paper. The time …
A novel numerical technique for solving time fractional nonlinear diffusion equations involving weak singularities
B Ghosh, J Mohapatra - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
In this work, an efficient numerical approximation for the solution of the time fractional
nonlinear diffuse interface model is studied. The solution to this problem has a weak …
nonlinear diffuse interface model is studied. The solution to this problem has a weak …
Analytical and numerical solution for the time fractional Black-Scholes model under jump-diffusion
In this work, we study the numerical solution for time fractional Black-Scholes model under
jump-diffusion involving a Caputo differential operator. For simplicity of the analysis, the …
jump-diffusion involving a Caputo differential operator. For simplicity of the analysis, the …
Impact of mixed boundary conditions and nonsmooth data on layer‐originated nonpremixed combustion problems: Higher‐order convergence analysis
This work explores the theoretical and computational impacts of mixed‐type flux conditions
and nonsmooth data on boundary/interior layer‐originated singularly perturbed semilinear …
and nonsmooth data on boundary/interior layer‐originated singularly perturbed semilinear …
A novel approach for solving multi-term time fractional Volterra–Fredholm partial integro-differential equations
This article deals with an efficient numerical technique to solve a class of multi-term time
fractional Volterra–Fredholm partial integro-differential equations of first kind. The fractional …
fractional Volterra–Fredholm partial integro-differential equations of first kind. The fractional …
Numerical analysis of Volterra integro-differential equations with Caputo fractional derivative
S Santra, J Mohapatra - Iranian Journal of Science and Technology …, 2021 - Springer
This article deals with a fully discretized numerical scheme for solving fractional order
Volterra integro-differential equations involving Caputo fractional derivative. Such problem …
Volterra integro-differential equations involving Caputo fractional derivative. Such problem …
A numerical method based on quadrature rules for ψ-fractional differential equations
A Sabir, M ur Rehman - Journal of Computational and Applied Mathematics, 2023 - Elsevier
This paper presents a numerical method for the solution of a class of ψ-fractional differential
equations involving Caputo derivative with respect to a function. Initial value problem for the …
equations involving Caputo derivative with respect to a function. Initial value problem for the …